Question
Analyze the effect on the graph of \( f(x)=\log x \) when \( f(x) \) is replaced by \( f(x)+3.2 \). For Response 1 , enter 1 for horizontally and 2 for vertically. For Response 3 , enter 1 for up, 2 for down, 3 for to the left, and 4 for to the right. (2 points)
Ask by Fowler O'Quinn. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph shifts upward by 3.2 units.
Response 1: 2 (vertical)
Response 3: 1 (up)
Solution
f(x) is replaced by f(x) + 3.2, which shifts the graph vertically by 3.2 units (upward).
Response 1: 2 (vertical)
Response 3: 1 (up)
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Simplify this solution The Deep Dive
Response 1: 2 Response 3: 1 When you replace \( f(x) \) with \( f(x) + 3.2 \), you're shifting the graph vertically. Specifically, every point on the graph of \( f(x) = \log x \) moves up by 3.2 units. This means the overall shape and position of the logarithmic curve remains the same, but every part of it is elevated, creating a new graph that retains the curve's behavior while simply being positioned higher on the y-axis!
